1336000781025 has 81 divisors (see below), whose sum is σ = 2410348610163. Its totient is φ = 707383260000.

The previous prime is 1336000780987. The next prime is 1336000781081. The reversal of 1336000781025 is 5201870006331.

The square root of 1336000781025 is 1155855.

It is a perfect power (a square), and thus also a powerful number.

1336000781025 is a `hidden beast` number, since 1 + 33 + 600 + 0 + 7 + 8 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 480960281169 + 855040499856 = 693513^2 + 924684^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1336000781025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4351793922 + ... + 4351794228.

Almost surely, 2^{1336000781025} is an apocalyptic number.

1336000781025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1336000781025 is the 1155855-th square number.

1336000781025 is the 577928-th centered octagonal number.

It is an amenable number.

1336000781025 is a deficient number, since it is larger than the sum of its proper divisors (1074347829138).

1336000781025 is an frugal number, since it uses more digits than its factorization.

1336000781025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 1336000781025 by its sum of digits (36), we get a square (48096028116900 = 6935130²).

Adding to 1336000781025 its reverse (5201870006331), we get a palindrome (6537870787356).

It can be divided in two parts, 1336000 and 781025, that added together give a square (2117025 = 1455²).

The spelling of 1336000781025 in words is "one trillion, three hundred thirty-six billion, seven hundred eighty-one thousand, twenty-five".